Atkin-Lehner |
2+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
21658n |
Isogeny class |
Conductor |
21658 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
-3045288064 = -1 · 27 · 72 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 4 13- 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,269,2157] |
[a1,a2,a3,a4,a6] |
j |
43677664247/62148736 |
j-invariant |
L |
3.8531226717678 |
L(r)(E,1)/r! |
Ω |
0.96328066794196 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21658a1 |
Quadratic twists by: -7 |